Head-on collision between two solitary waves in a compressible Mooney-Rivlin elastic rod

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)93-111
Journal / PublicationWave Motion
Volume32
Issue number2
Publication statusPublished - Aug 2000

Abstract

The interaction between two solitary waves in hyperelastic rods had been studied in literature by numerical methods, and here we study the head-on collision between two solitary waves in a circular cylindrical rod composed of a compressible Mooney-Rivlin material by a perturbation approach which combines the reductive perturbation method with the technique of strained coordinates. The third-order asymptotic solution which describes the evolution process of interaction is derived. It is found that the head-on collision does have imprints on the colliding waves with nonuniform phase shifts at O(ε2), which cause the tilting of the wave profiles. Our analytical results provide a formula for the maximum amplitude during the collision and also successfully explain the phenomenon that the smaller solitary wave has a larger distortion while the larger solitary wave has a smaller distortion. © 2000 Elsevier Science B.V.

Research Area(s)

  • Hyperelastic rods, Solitary waves

Citation Format(s)

Head-on collision between two solitary waves in a compressible Mooney-Rivlin elastic rod. / Dai, Hui-Hui; Dai, Shiqiang; Huo, Yi.

In: Wave Motion, Vol. 32, No. 2, 08.2000, p. 93-111.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review